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Finding the Fourth Proportional to 131,722.40, 197,000.40 and 110,727.20

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Solution

The fourth proportional to 131,722.40, 197,000.40 and 110,727.20 is: 165,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,722.40 : 197,000.40 = 110,727.20 : x
  2. Step 2: Convert to fraction form
    131,722.40/197,000.40 = 110,727.20/x
  3. Step 3: Cross multiply
    131,722.40x = 197,000.40 × 110,727.20
  4. Step 4: Simplify right side
    131,722.40x = 21,813,302,690.88
  5. Step 5: Solve for x
    x = 21,813,302,690.88/131,722.40
  6. Step 6: Final answer
    x = 165,600.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.